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Title:
Hypersurface flows and geometric inequalities in space forms
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Abstract:
Consider the space forms Nn+1 with metric ds2=dρ2+φ2(ρ)dz2. We discuss two different types of normalized hypersurface curvature flows : mean curvature and inverse mean curvature types. These flow equations are closely related to isoperimetric type of inequalities. Some of the flow equations are new even in Euclidean space. These work are joint with Pengfei Guan.
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